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Surface to Volume Ratio of Stellated Octahedron Formula

GoSurface to Volume Ratio of Stellated Octahedron given Edge Length of Peaks Formula

GoSurface to Volume Ratio of Stellated Octahedron given Circumsphere Radius Formula

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Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron. Check FAQs

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot l e}

R_A/V - Surface to Volume Ratio of Stellated Octahedron?l_e - Edge Length of Stellated Octahedron?

Surface to Volume Ratio of Stellated Octahedron Example

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Here is how the Surface to Volume Ratio of Stellated Octahedron equation looks like with Values.

Here is how the Surface to Volume Ratio of Stellated Octahedron equation looks like with Units.

Here is how the Surface to Volume Ratio of Stellated Octahedron equation looks like.

1.4697 = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 10}

1.4697m⁻¹ = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 10m}

1.4697 = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 10}

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Surface to Volume Ratio of Stellated Octahedron Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Stellated Octahedron?

FIRST Step Consider the formula

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot l e}

Next Step Substitute values of Variables

∴

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 10m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2} \cdot 10}

Next Step Evaluate

∴

R A/V = 1.46969384566991m⁻¹

LAST Step Rounding Answer

∴

R A/V = 1.4697m⁻¹

Surface to Volume Ratio of Stellated Octahedron Formula Elements

Variables

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Surface to Volume Ratio of Stellated Octahedron

Surface to Volume Ratio of Stellated Octahedron is the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Stellated Octahedron

Edge Length of Stellated Octahedron

Edge Length of Stellated Octahedron is the distance between any pair of adjacent peak vertices of the Stellated Octahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Stellated Octahedron

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Other Formulas to find Surface to Volume Ratio of Stellated Octahedron

Go Surface to Volume Ratio of Stellated Octahedron given Edge Length of Peaks

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\frac{1}{2 \cdot l e(Peaks)})

Go Surface to Volume Ratio of Stellated Octahedron given Circumsphere Radius

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\frac{1}{4 \cdot \frac{r c}{\sqrt{6}}})

Go Surface to Volume Ratio of Stellated Octahedron given Total Surface Area

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot (\sqrt{\frac{3 \cdot \sqrt{3}}{2 \cdot TSA}})

Go Surface to Volume Ratio of Stellated Octahedron given Volume

R A/V = \frac{(\frac{3}{2}) \cdot \sqrt{3}}{(\frac{1}{8}) \cdot \sqrt{2}} \cdot ({(\frac{\sqrt{2}}{8 \cdot V})}^{\frac{1}{3}})

How to Evaluate Surface to Volume Ratio of Stellated Octahedron?

Surface to Volume Ratio of Stellated Octahedron evaluator uses Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2)*Edge Length of Stellated Octahedron) to evaluate the Surface to Volume Ratio of Stellated Octahedron, Surface to Volume Ratio of Stellated Octahedron formula is defined as the numerical ratio of the total surface area of a Stellated Octahedron to the volume of the Stellated Octahedron. Surface to Volume Ratio of Stellated Octahedron is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Stellated Octahedron using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Stellated Octahedron, enter Edge Length of Stellated Octahedron (l_e) and hit the calculate button.

FAQs on Surface to Volume Ratio of Stellated Octahedron

What is the formula to find Surface to Volume Ratio of Stellated Octahedron?

The formula of Surface to Volume Ratio of Stellated Octahedron is expressed as Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2)*Edge Length of Stellated Octahedron). Here is an example- 1.469694 = ((3/2)*sqrt(3))/((1/8)*sqrt(2)*10).

How to calculate Surface to Volume Ratio of Stellated Octahedron?

With Edge Length of Stellated Octahedron (l_e) we can find Surface to Volume Ratio of Stellated Octahedron using the formula - Surface to Volume Ratio of Stellated Octahedron = ((3/2)*sqrt(3))/((1/8)*sqrt(2)*Edge Length of Stellated Octahedron). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Stellated Octahedron?

Here are the different ways to Calculate Surface to Volume Ratio of Stellated Octahedron-

Surface to Volume Ratio of Stellated Octahedron=((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(2*Edge Length of Peaks of Stellated Octahedron))
Surface to Volume Ratio of Stellated Octahedron=((3/2)*sqrt(3))/((1/8)*sqrt(2))*(1/(4*Circumsphere Radius of Stellated Octahedron/sqrt(6)))
Surface to Volume Ratio of Stellated Octahedron=((3/2)*sqrt(3))/((1/8)*sqrt(2))*(sqrt((3*sqrt(3))/(2*Total Surface Area of Stellated Octahedron)))

Can the Surface to Volume Ratio of Stellated Octahedron be negative?

No, the Surface to Volume Ratio of Stellated Octahedron, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Stellated Octahedron?

Surface to Volume Ratio of Stellated Octahedron is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Stellated Octahedron can be measured.

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